In a recent and important work [1]} particular deformation of the KdV equations, which can be identified with non-integrable systems such as the regularized long-wave (RLW) [2]}, [3]} and the modified regularized long-wave (mRLW) [4]} equations, were shown to be quasi-integrable. Detailed analytical results, supported by numerical evaluation of single and multi-soliton structures, ensured asymptotic integrability of such systems for certain ranges of the deformation parameters. However, a general way to quasi-deform the original KdV system,, in the likeness of sine-Gordon [5]}, [6]} or NLS [7]}, [8]}, has not been proposed yet. In the present work we propose a general framework of deformation of the KdV equation that leads to quasi-integrability. We obtain the \(sl(2)\)  loop algebraic Abelianization [6]}, [7]} of the KdV system and obtain the anomalous charges. We further provide the generic parity analysis of this deformation based on the said loop algebra to obtain definite parity structure of the quasi-deformation anomalies, crucial for the known cases. Finally a few of the deformed solutions and corresponding anomalies are analyzed approximately that conforms to the quasi-integrability structure.
